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Chapter 16

3-Dimensional Kinetics of a Rigid Body

Momenti e prodotto dell'inerzia
Momenti e prodotto dell'inerzia
The moment of inertia for a differential element of a rigid body can be calculated by multiplying the mass of the element by the square of the shortest ...
Tensore d'inerzia
Tensore d'inerzia
The inertia tensor is used to describe the distribution of mass and rotational inertia of a rigid body. The inertia tensor is represented using a 3×3 ...
Momento d'inerzia attorno a un asse arbitrario
Momento d'inerzia attorno a un asse arbitrario
The moment of inertia is typically associated with principal axes, but it can also be computed for any random axis. When an arbitrary axis is under ...
Momento angolare attorno a un asse arbitrario
Momento angolare attorno a un asse arbitrario
Consider a rigid body of mass 'm' and a center of mass at point G, rotating in an inertial reference frame. At an arbitrary point P, the angular ...
Momento angolare e assi principali di inerzia
Momento angolare e assi principali di inerzia
The angular momentum for a rigid body can be expressed as the integral of the cross-product of the position vector of the mass element with the ...
Principio dell'impulso e del momento
Principio dell'impulso e del momento
When one considers a rigid body undergoing a plane motion, which is essentially a blend of translational and rotational movement, the application of ...
Energia cinetica per un corpo rigido
Energia cinetica per un corpo rigido
Consider a rigid body undergoing a general planar motion. Its center of mass is located at point G. The kinetic energy of the i-th particle of the rigid ...
Equazione del moto per un corpo rigido
Equazione del moto per un corpo rigido
The motion of a rigid body can be described using equations for translational motion and rotational motion about the center of mass. Newton's Second ...
Equazioni del moto di Eulero
Equazioni del moto di Eulero
Consider a rigid body rotating with an angular velocity of ω in an inertial frame of reference. Another rotating frame is attached to the body that ...
Movimento libero da coppia
Movimento libero da coppia
Torque-free motion refers to the movement of a rigid body without any external torques acting upon it. Consider an axisymmetric object, with the z-axis ...
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